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Q.

A metal rod of length 10 cm  and a rectangular cross section of 1cm×12cm  is connected to a battery across opposite faces. The resistance will be

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a

maximum when the battery is connected across 1cm×12cm  faces.

b

maximum when the battery is connected across 10cm×1cm  faces

c

maximum when the battery is connected across 10cm×12cm  faces.

d

same irrespective of the three faces.

answer is A.

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Detailed Solution

R=ρLA, Rmax⇒Lmax  and  Aminimum
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A metal rod of length 10 cm  and a rectangular cross section of 1cm×12cm  is connected to a battery across opposite faces. The resistance will be